#!/usr/bin/env python


P = [2
,3
,5
,7
,11
,13
,17
,19
,23
,29
,31
,37
,41
,43
,47
,53
,59
,61
,67
,71
,73
,79
,83
,89
,97
,101
,103
,107
,109
,113
,127
,131
,137
,139
,149
,151
,157
,163
,167
,173
,179
,181
,191
,193
,197
,199
,211
,223
,227
,229
,233
,239
,241
,251
,257
,263
,269
,271
,277
,281
,283
,293
,307
,311
,313
,317
,331
,337
,347
,349
,353
,359
,367
,373
,379
,383
,389
,397
,401
,409
,419
,421
,431
,433
,439
,443
,449
,457
,461
,463
,467
,479
,487
,491
,499
,503
,509
,521
,523
,541]

from fractions import Fraction

T = int(raw_input())
for _t in xrange(T):
    n = int(raw_input())
    pr = 1
    ret = Fraction(1, 1)
    for p in P:
        pr *= p
        if pr <= n:
            ret *= Fraction(p, p + 1)
    print str(ret.numerator) + '/' + str(ret.denominator)
